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December 1, 2002 1. Create two random, linearly separable data clouds in R 2 You can do this
 

Summary: Assignment
December 1, 2002
1. Create two random, linearly separable data clouds in R 2 You can do this
as follows (or do your own thing): let f(x; y) = 2x + 5y 2 denote a line
which passes through the unit square [0; 1] 2 (verify this). Then generate
some random data (x; y), in [0; 1] 2 and assign the points to the two classes
depending on the sign of f(x; y).
Use the perceptron algorithm to locate a separating line.
Try this with a small set of data, so the line will be easy to locate (i.e., so
the perceptron algorithm will have an easy job of it), and a larger set of
data so the line will be harder to locate (i.e., the algorithm will take a lot
longer).
Report on the e∆cacy of the perceptron algorithm.
2. Use the data you have developed for digits' features (the subwindows'
black-pixels sums) for two (or more digit categories), and test the sepa-
rating ability of a hyperplane determined by the pseudoinverse. (By test
I mean create the confusion matrix.)
3. Add to the 16-element feature set (of the previous problem) the products
of pairs of the features, giving 16 +


  

Source: Anderson, Peter G. - Department of Computer Science, Rochester Institute of Technology

 

Collections: Computer Technologies and Information Sciences